Position

• Maître de conférences (≈ associate professor) in mathematics at the Université de Rennes.
• I do most of my research at the Maths Institute in Rennes called IRMAR.

Research topics

• I work mostly in Probability theory.
• I study statistical, analytical and geometrical properties of high dimensional random objects such as point processes, spin systems, interacting particle systems and Gaussian fields.
• My favourite tools are inspired from Stochastic Analysis, Limit Theorems, Optimal Transport and Functional inequalities.

Selected recent publications

Probability in high dimension

• Gaussian fields; Wiener space; Malliavin calculus;
• Poisson point processes; β-ensembles; Coulomb gases;
• Limit theorems; Malliavin-Stein method; Γ-Stein method;
• Bakry–Émery criterion; logarithmic Sobolev inequalities;

Probability with a geometric flavour

• Curvature in non-smooth spaces; gradient flows and displacement convexity;
• Marton-Talagrand inequalities; concentration of measure;
• Brownian motion and Gaussian fields on (sub)-Riemannian manifolds;

Short Vita

• Since 09/2024: Associate professor at the Université de Rennes.
• 09/2022 - 09/2024: Postdoctoral Lebesgue fellow at IRMAR, Rennes.
• 01/2019 - 09/2022: Postdoctoral assistant of Theo Sturm at IAM, Bonn
• 11/2015 - 12/2018: PhD thesis in mathematics supervised by Nathael Gozlan & Giovanni Peccati.
• 09/2014 - 09/2015: Master thesis in mathematics supervised by Djalil Chafaï.

Random links

Seminars I (might) attend

• Seminars at IRMAR in Rennes.
• CTOP seminar on Convexity, Optimal Transport, Probability in Paris.
• One World Probability, online seminar on Probability in the broad sense.
• Kantorovich initiative, online seminar on Optimal transport.

Online lectures (non-exhaustive, more or less related to what I do)

• Pierre-Louis Lions lectures and seminars at Collège de France
• Thomas Leblé’s cours Peccot Aspects microscopiques des systèmes à interaction logarithmique.
• Alessio Figalli’s cours Peccot Stabilité dans les inégalités fonctionnelles, transport optimal et EDP.
• Sylvia Serfaty’s lectures at IHÉS Systems with Coulomb interactions.
• Cédric Villani’s lectures at IHÉS La théorie synthérique de la courbure de Ricci.
• Alessio Figalli’s Bourbaki seminar On the Monge-Ampère equation.
• Franck Barthe’s Bourbaki seminar L’inégalité de correlation gaussienne.
• Giovanni Peccati’s lectures at HCM Some applications of variational techniques in stochastic geometry.
• Hausdorff Center Junior Trimester Program Optimal Transportation.

Useful (maybe) links

• Calculus of Variations and Geometric Measure Theory (optimal transport events).
• The Kantorovich initiative (events, postdoc positions and online seminar around optimal transport).
• The Malliavin-Stein approach.
• The Mersenne Center: truly open-access math journals, please consider publish there!

Youtube channels for maths researchers

• IHÉS.
• Institut Henri Poincaré.
• Hausdorff Center.
• CIRM.
• Scuola Normale Superiore.
• Centre Henri Lebesgue.

General audience mathematics

• Numberphile Youtube channel.
• Jos Leys Youtube channel (animations about maths).
• Images des maths
• Explore Thurston geometries by Rémi Coulon